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解方程x/x+1 +1 = 2x+1/x

解:两边同时乘以x(x+1) 的x^2+x(x+1)=2x^2(x+1)+(x+1) 化简得2x^3=-1 x^3=-1/2 x=(-1/2)^(1/3)

两边乘(2x+1)² (x-1)(2x+1)

5/2x-x=1 3/2x=1 x=3分之2

供参考。

1

2x²-x-1=0 x²-0.5x=0.5 x-0.5x+0.0625=0.5625 (x-0.25)²=0.5625 x-0.25=±0.75 x=0.25±0.75 x1=-0.5 x2=1

解由题知(1+1/2)x=360 即3x/2=360 即x/2=120 解得x=240

2x(x+1)=6 x+1=6÷2 x+1=3 x=3-1 x=2

设:(x+1)/x²=y y-2/y=1 y²-2=y y²-y-2=0 (y-2)(y+1)=0 y①=2 y②=-1 把y①=2,y②=-1代入:(x+1)/x² (x+1)/x²=2 (x+1)=2x² 2x²-x-1=0 (2x+1)(x-1)=0 x①=-1/2 x②=1; (x+1)/x²=-1 (x+1)=-x² x² +x...

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